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In this work, a new approach for identifying the stress intensity factors (SIFs) is proposed, using the method of energetic compliance. The new approach uses the “Cells Method” (Tonti) which gives the continuum media equations in discrete form directly. Problems relating to the appropriate geometric model for determining the opening SIF (KI) are discussed in detail. Experimental results are used to calibrate the numerical model. Numerical results are presented that show the change in KI with the crack depth/ligament ratio, and these are compared with those of Brown (1966) and Tada (1973).